Download Outline Update MTH 050 Technical Mathematics I

Course Outline
Title:
Technical Mathematics I
Course Number: MTH-050
Credits:
3
Date:
February 2013
Institution:
Clackamas Community College
Outline Developed by:
Mathematic Department, Stefan Baratto
Type of Program:
Developmental Education
Course Description:
Designed for career-technical students. The topics focus on critical thinking, problem solving, and
mathematical communication using applications in applied arithmetic, measurement, geometry, and
statistics and probability.
Student Learning Outcomes:
Upon successful completion of this course, a student should be able to:
1. demonstrate rigorous and analytical thinking by reading, writing, and utilizing the technical
and logical language and symbolism necessary to do mathematics and be effective problem
solvers;
2. solve a variety of “real world” math applications involving MTH-050 content,
3. read and comprehend technical mathematics writing,
4. demonstrate the ability to effectively communicate mathematical information,
5. present mathematical and technical information in a professional manner,
6. independently observe and present a related mathematical topic complementing the content
of this course,
7. demonstrate the ability to work effectively as a team member to solve a variety of math
problems,
8. demonstrate the ability to work with a small group of students to explore and present a
related mathematical topic complementing the content of this course,
9. demonstrate the ability to perform arithmetic by hand, with a calculator, and mentally;
10. use the rules of rounding to round whole numbers based on place value,
11. use the rules of rounding to round decimal numbers based on decimal places and based on
place value,
12. use an “over bar” to indicate significance when rounding,
13. demonstrate the ability to perform arithmetic with signed numbers,
14. solve applications involving signed numbers,
15. evaluate numbers in exponential form,
16. use the rules of exponents to evaluate expressions involving exponents,
17. use the order of operations to evaluate an expression,
18. use a calculator to evaluate an expression requiring the order of operations,
19. demonstrate the ability to correctly interpret an exponential expression when the base is
20. convert numbers between standard form and their scientific notation,
21. demonstrate the ability to perform arithmetic involving numbers in scientific notation,
22. evaluate a formula for given input values,
23. demonstrate comfort with a variety of formulas regardless of the field or discipline
associated with the formula or application,
24. identify the parts of a percent problem,
25. solve percent problems and applications,
26. use U.S. units of measure for length, mass, and volume;
27. convert between two U.S. units of measure,
28. use unit ratios to convert between two measurements,
29. demonstrate the ability to add and subtract combined measurements,
30. estimate metric units of length, mass, and volume;
31. convert between two metric units of measure,
32. use metric prefixes correctly,
33. convert units between the U.S. and metric systems of measurement,
34. convert between standard units of time,
35. convert between small units of time,
36. convert between Fahrenheit and Celsius temperature scales,
37. solve applications involving rates,
38. solve applications involving unit pricing,
39. determine if a quantity is an exact value or an approximation,
40. determine the number of significant digits in a quantity,
41. determine the accuracy of a measurement,
42. state the precision of a measurement,
43. determine the greatest possible error of a measurement,
44. demonstrate the ability to properly round the sum and difference of approximate quantities,
45. demonstrate the ability to properly round the product and quotient of approximate quantities,
46. demonstrate the ability to properly round when exact values and approximations are both
present in a computation,
47. compute the absolute error of a measurement,
48. compute the relative error of a measurement,
49. state if a measurement is within a defined tolerance, given an expected value,
50. identify angles by type,
51. find the complement and supplement of an angle,
52. convert between degree-minute-second and decimal-degree measures of angles,.
53. identify lines as parallel, perpendicular, or neither,
54. use the properties of angles and lines to calculate angle measures,
55. identify polygons by type and determine if one is regular,
56. compute the perimeter of a polygon,
57. use perimeter formulas associated with particular polygons to calculate a polygon’s
perimeter,
58. use area formulas to calculate the area of specific polygons,
59. convert between U.S. measures of area,.
60. convert between square units in the metric system,
61. convert between U.S. and metric units of area,
62. demonstrate the ability to classify triangles based on their sides,
63. demonstrate the ability to classify triangles based on their angles,
64. solve problems involving the angles of a triangle,
65. use the Pythagorean Theorem to solve problems involving right triangles,
66. solve problems involving isosceles right triangles,
67. solve an isosceles triangle,
68. compute the area of an isosceles triangle,
69. use Heron’s Formula to find the area of a triangle,
70. identify types of trapezoids,
71. determine the perimeter and area of a trapezoid,
72. define a circle and describe the role pi plays in computations involving a circle,
73. compute the circumference and area of a circle,
74. solve problems involving circles,
75. solve problems involving composite geometric figures,
76. use triangulation to find the area of a regular polygon,
77. determine if two figures are similar,
78. solve problems involving similar triangles,
79. define and understand solid geometric figures,
80. determine the lateral and total surface areas of a rectangular solid,
81. compute the volume of a rectangular solid,
82. determine the lateral and total surface areas of a cylinder,
83. compute the volume of a cylinder,
84. determine the surface area and volume of a sphere,
85. solve problems involving solid figures,
86. determine the lateral and total surface areas and the volume of a prism,
87. identify the dimensions associated with a pyramid,
88. demonstrate the ability to classify a pyramid based on its base,
89. determine the lateral and total surface areas and the volume of a pyramid,
90. identify and compute the dimensions of a cone,
91. determine the lateral and total surface areas and the volume of a cone,
92. solve problems involving composite geometric figures,
93. compute the mean, median, and mode of a data set,
94. evaluate the appropriateness of using the mean, median, and mode, as a measure of center
of a given data set,
95. distinguish between quantitative and qualitative data sets,
96. compute the range of a data set,
97. compute the standard deviation of a simple data set,
98. distinguish between the standard deviation and the variance of a data set,
99. use the “range rule-of-thumb” to estimate the standard deviation of a data set,
100. solve problems using data sets and the empirical rule,
101. identify the sample space associated with an event,
102. determine the size of the sample space associated with an event,
103. determine the probability of an event using the classical approach,
104. determine the probability of an event using the empirical approach,
105. determine when to use the classical, empirical, or subjective approach to give the
probability of an event,
106. demonstrate the ability to interpret a probability statement,
107. define the complement of an event,
108. determine the probability of the complement of an event,
109. solve problems involving the probability of an event,
110. solve problems involving the probability of the complement of an event,
111. determine if two events are independent,
112. use the multiplication rule to compute the probability of an occurrence of a set of
independent events,
113. solve probability problems involving independent events.
Length of Course:
44 lecture hours
Grading Method:
Letter Grade (A-F) or Pass/No Pass
Prerequisites:
Pass MTH-020 with a C or better or placement in MTH-050 or MTH-060
Co-requisites:
None
Recommended:
None
Major Topic Outline:
1. Rounding real numbers
2. Review of signed arithmetic
3. Order of mathematical operations
4. Scientific Notation
5. Using Formulas
6. Review of percents
7. U.S. measurement
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
Metric measurement
Conversion of measurements
Measurement of time and temperature
Error analysis, absolute error, and relative error. Using tolerance.
Angles. Classification and measurement.
Basic geometry. Lines and polygons. Computing perimeter and area.
Right triangles and the Pythagorean Theorem. Isosceles and equilateral triangles.
Circles. Circumference and area.
Solid geometry. Volume and surface area.
Basic Statistics. Measures of center and spread of a dataset. The Empirical Rule.
Introduction to Probability.
CCC AAOT/ASOT GENERAL EDUCATION OUTCOMES
COURSE OUTLINE MAPPING CHART
MTH-050
Technical Mathematics I
Course Title and Number:
This course does not include assessable General Education outcomes
Mark outcomes addressed by this course:



Mark “C” if this course completely addresses the outcome. Students who successfully complete this course are likely to have
attained this learning outcome.
Mark “S” if this course substantially addresses the outcome. More than one course is required for the outcome to be completely
addressed. Students who successfully complete all of the required courses are likely to have attained this learning outcome.
Mark “P” if this course partially addresses the outcome. Students will have been exposed to the outcome as part of the class,
but the class is not a primary means for attaining the outcome and assessment for general education purposes may not be
necessary.
As a result of completing the AAOT /ASOT general education requirements, students will be able to:
WR: Writing Outcomes
1. Read actively, think critically, and write purposefully and capably for academic and, in some
cases, professional audiences.
2. Locate, evaluate, and ethically utilize information to communicate effectively.
3. Demonstrate appropriate reasoning in response to complex issues.
SP: Speech/Oral Communication Outcomes
1. Engage in ethical communication processes that accomplish goals.
2. Respond to the needs of diverse audiences and contexts.
3. Build and manage relationships.
MA: Mathematics Outcomes
1. Use appropriate mathematics to solve problems.
2. Recognize which mathematical concepts are applicable to a scenario, apply appropriate
mathematics and technology in its analysis, and then accurately interpret, validate, and
communicate the results.
AL: Arts and Letters Outcomes i
1. Interpret and engage in the Arts & Letters, making use of the creative process to enrich the quality of
life.
2. Critically analyze values and ethics within a range of human experience and expression to engage
more fully in local and global issues.
SS: Social Science Outcomes
1. Apply analytical skills to social phenomena in order to understand human behavior.
2. Apply knowledge and experience to foster personal growth and better appreciate the diverse social
world in which we live.
SC: Science or Computer Science Outcomes
1. Gather, comprehend, and communicate scientific and technical information in order to explore
ideas, models, and solutions and generate further questions.
2. Apply scientific and technical modes of inquiry, individually, and collaboratively, to critically
evaluate existing or alternative explanations, solve problems, and make evidence-based decisions
in an ethical manner.
3. Assess the strengths and weaknesses of scientific studies and critically examine the influence of
scientific and technical knowledge on human society and the environment.
CL: Cultural Literacy Outcome ii
1. Identify and analyze complex practices, values, and beliefs and the culturally and historically
defined meanings of difference.
IL: Information Literacy Outcomesiii
1. Formulate a problem statement.
2. Determine the nature and extent of the information needed to address the problem.
3. Access relevant information effectively and efficiently.
4. Evaluate information and its course critically.
5. Understand many of the economic, legal, and social issues surrounding the use of information.
“Arts and Letters” refers to works of art, whether written, crafted, designed, or performed and documents of historical or cultural
significance.
ii
Must be embedded in a course that meets the outcomes for Arts and Letters, Social Science, or Science/Computer Science.
iii
Must be embedded in the general education required Writing courses Revised 2010-2011 to reflect Statewide AAOT outcomes
i